Q2\ Find the phase relationship between the waveforms of each set: a. v4 sin(wt + 50°) i 6 sin(wt + 40°) b. v 25 sin(wt - 80°) -3 i= 5 x 103 sin(wt - 10°) c. v=0.2 sin(wt - 60°) i=0.1 sin(wt + 20°) d. v=200 sin(wt - 210°) i = 25 sin(wt 60°) -
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- Convert -20 sin (wt + 10°) to cosine. A 20 cos(wt + 100) B) 20 cos(wt - 80) (c) 20 cos(wt + 190) D 20 cos(wt - 170)Prob. I and Vc For the following RMS phasor circuit, a coworker has determined values for 50 Ohms 50 Ohms i,- 225 2253.13° = 190.92 + 254.56 VRMS R1 + R2 Vc = 237.17/26.565° = 212.13+ 106.07 VRMS 100 2 -3Z98.13° =-0.4243 + J2.970 ARMS C -j60 Ohms For this problem provide at least 3 digits of precision for the answers. The results for the following calculations are to be answered in - a) Find the current I b) Determine the real (P) and reactive(Q) power DELIVERED by the source c) Determine the real (P) and reactive (Q) power ABSORBED by each impedance ( resistors R1 and R2, inductor and capacitor). The values for P and Q can be positive or negative. Remember S =P+jQ, so do not include the j with your answer for Q. Each of these answers will require two parts. For the phasor a magnitude and angle will be needed. For the powers, The real power P and the reactive power Q are required.Shown in the figure below is an "RL" circuit drive by an AC power source. The AC power source has an RMS voltage of Vps (RMS) = 9.84 Volts and is running at a frequency of f = 8.585e+04 Hz. The resistor has a resistance of R = 2170 and the inductor has an inductance of L = 3.54e-03 Henries. Vps R ww Write the FORMULA for the total impedance of the circuit Ztot = Determine the numerical value of Ztot = 2890.5 Determine the numerical value of $z= = 41 Determine the current through the circuit: • I(PEAK) = 4.81E-3 • I(RMS) = 3.404E-3 Determine the voltage across the resistor: • VR(PEAK) = 7.387 • VR(RMS) = 5.22 ✔✔ Amps ✔Amps Write the FORMULA for the phase of the total impedance of the circuit z... = | tan-1 2701 R x Volts X Volts Determine the voltage across the inductor: • VL(PEAK) = 9.184 • VL(RMS) = 6.49 ✔ Volts Volts L R²+ WL- ✔ degrees 2 If a second circuit were connected in parallel with the inductor, this circuit would be considered as: O a low-pass filter O a capacitive switcher…
- C. Draw a general sine wave V vs t and I vs t plot for a purely resistive and a purely inductive circuit and show leading lagging parameters and clearly mark the phase difference.Shown in the figure below is an "RC" circuit drive by an AC power source. The AC power source has an RMS voltage of Vps (RMS) = 11.58 Volts and is running at a frequency of f = 1.326e+04 Hz. resistor has a resistance of R = 3750 2 and the capacitor has an capacitance of C = 3.17e-09 Farads. Vps R ww Write the FORMULA for the total impedance of the circuit Ztot = Write the FORMULA for the phase of the total impedance of the circuit tot = Determine the numerical value of Ztot = Determine the numerical value of Pztot= Determine the current through the circuit: • I(PEAK) = • I(RMS) = Determine the voltage across the resistor: Amps Amps S2 C degreesQ5)-a)For this figure shown below the phase relationship between the sinusoidal waveform Of this set. -10sin(wt+80) V=15sin (wt+40) Q5)-b) for this circuit find the max energy if XL=100 Vm-300v,L=0.3H V= Vm Sinwt
- For the phasor diagram in figure 6 express the voltages in sinusoids for a period of 5ms. Im Re )e,=45° e,=20 Vz=10 V2=8 Figure 7 a. Va(t)=. b. V2(t)=. c. What is the rms voltage of V1 = d. What is the rms voltage of V2=_ e. What is the frequency in Hz = f. What is the angular frequency =. In terms of lagging and leading what is the exact phase relationship between V, (t) and V2(t) g.P.3: Find the rms value for the following sinusoidal waveforms a. v= 120 sin(377t + 60°) b. i=6x 10³ sin(2# 1000r) c. u=8 x 10-6 sin(2# 5000 + 30°) P.4: Find the rms value for the following sinusoidal waveforms a. v= 20 sin 754r b. v= 7.07 sin 377r c. i=0.006 sin(400r + 20°) d. i 16 x 10³ sin(377r - 10%) P.5: Write the sinusoidal expressions for voltages and currents having the following rms values at a frequency of 60 Hz with zero phase shifts: a. 4.8 V b. 50 mA c. 2 kVThe source in the circuit shown is a sinusoidal source. The supply voltages across various elements are marked in the figure. The input voltage is: 3V- ww -14 V-10V moon It
- What is the phase relationship between the sinusoidal waveforms of each of the following sets? a. V = 10 sin (wt +30) i = 5 sin (wt+ 70) b. V = 10 sin (wt - 20) i = 15 sin (wt+ 60)P.4: Find the rms value for the following sinusoidal waveforms a. v = 20 sin 754t b. v = 7.07 sin 377t c. i = 0.006 sin(400t + 20°) d. i 16 x 10-3 sin(377t - 10°)Apply a sinusoidal input voltage with 2V p-p and vary the frequency according to the table below. Measure the voltage Vr and current I from the voltage across R and find the phase angle between the Vi and I.